Question

Which set of four numbers has the smallest possible standard deviation?

a) 1, 2, 3, 4
b) 0, 0, 0, 0
c) 1, 1, 1, 5
d) 1, 3, 5, 7

Answer 1

The set of numbers with the smallest possible standard deviation is b) 0, 0, 0, 0.

Step-by-step explanation:

The set of numbers with the smallest possible standard deviation is b) 0, 0, 0, 0.

Standard deviation measures the amount of variation or spread in a data set. A smaller standard deviation indicates less variation among the numbers in the set.

In the set b) 0, 0, 0, 0, all the numbers are the same, and there is no variation. Therefore, the standard deviation of this set is zero, making it the set with the smallest possible standard deviation.